A certain vibrating system satisfies the equation u" + yu' + u = 0. Find the value of the damping coefficient y for which the quasi period of the damped motion is 35% greater than the period of the corresponding undamped motion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A certain vibrating system satisfies the equation u" + yu' + u = 0. Find the value of the damping coefficient y for which the quasi
period of the damped motion is 35% greater than the period of the corresponding undamped motion.
Round you answer to three decimal places.
i
Transcribed Image Text:A certain vibrating system satisfies the equation u" + yu' + u = 0. Find the value of the damping coefficient y for which the quasi period of the damped motion is 35% greater than the period of the corresponding undamped motion. Round you answer to three decimal places. i
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